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Finding the Third Proportional to 9,874,170 and 13,101,966

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Solution

The third proportional to 9,874,170 and 13,101,966 is: 17,384,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874,170 : 13,101,966 = 13,101,966 : x
  2. Step 2: Convert to fraction form
    9,874,170/13,101,966 = 13,101,966/x
  3. Step 3: Cross multiply
    9,874,170x = 13,101,966 × 13,101,966
  4. Step 4: Simplify right side
    9,874,170x = 171,661,513,065,156
  5. Step 5: Solve for x
    x = 171,661,513,065,156/9,874,170
  6. Step 6: Final answer
    x = 17,384,905.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.